Steady-state Markov chain models for the Heine and Euler distributions
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Publication:4031660
DOI10.2307/3214719zbMath0764.60098OpenAlexW2334274971MaRDI QIDQ4031660
Publication date: 1 April 1993
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3214719
Queueing theory (aspects of probability theory) (60K25) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (16)
Existence conditions and properties for the generalized Euler family of distributions ⋮ A joint absorption-Mahonian process ⋮ On multivariate discrete q-Distributions-A multivariate q-Cauchy’s formula ⋮ Characterizations of a discrete normal distribution ⋮ On a \(q\)-steady state Markov chain model based on transformed dual \(q\)-Krawtchouk orthogonal polynomials and its limiting behaviour ⋮ A \(q\)-random walk approximated by a \(q\)-Brownian motion ⋮ Modeling Under- and Over-Dispersion Usingq-Analogues of the Poisson Distribution ⋮ Absorption processes: Models for \(q\)-identities ⋮ \(q\)-random walks on \(\mathbb Z^d\), \(d = 1, 2, 3\) ⋮ Convergence properties of Kemp's \(q\)-binomial distribution ⋮ \(q\)-discrete distributions based on \(q\)-Meixner and \(q\)-Charlier orthogonal polynomials-asymptotic behaviour ⋮ Discrete \(q\)-distributions on Bernoulli trials with a geometrically varying success probability ⋮ q-SERIES IN MARKOV CHAINS WITH BINOMIAL TRANSITIONS ⋮ Heine process as a q-analog of the Poisson process—waiting and interarrival times ⋮ Steady-state Markov chain models for certain \(q\)-confluent hypergeometric distributions ⋮ Characterizations involving \(U|(U+V=m)\) for certain discrete distributions
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